Exponential mixing property for automorphisms of compact K\"ahler manifolds

Hao Wu

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arXiv · 2005.13319

Exponential mixing property for automorphisms of compact K\"ahler manifolds

Hao Wu

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Abstract

Let $f$ be a holomorphic automorphism of a compact K\"ahler manifold. Assume moreover that $f$ admits a unique maximal dynamic degree $d_p$ with only one eigenvalue of maximal modulus. Let $\mu$ be its equilibrium measure. In this paper, we prove that $\mu$ is exponentially mixing for all d.s.h.\ test functions.

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Hao Wu. 2020-05-26. Exponential mixing property for automorphisms of compact K\"ahler manifolds. https://arxiv.org/abs/2005.13319

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